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categoryالرياضيات schoolبكالوريوس event_available2026-07-15

السؤال

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Suppose that f: (a, b)→ R and a <c<b. and f is differentiable at c with derivative f'(c) f(x) e0.7x (5x – 1)(5x – 2) And f'(c) exist for c E (a, b). If a = 0.28, b = 0.31 and f'(c) = 0 then A) Find c by numerical differentiation method with Four decimal place accuracy B) Estimate forward difference approximations of O(h) and O(h²), and central difference approximations of O(h2) and O(h) for the first derivative of f(x) at x=0 using a value of h=0.01

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